The Rocky Mountain-Great Plains Graduate Research Workshop in Combinatorics, July 27 - August 9, 2014

组合学是数学中一个不断发展和重要的领域。组合学的重点是对象的离散(而不是连续)集合的结构。组合数学对数学的许多领域都很重要，在计算、科学和工程应用中发挥着关键作用。在一定程度上，由于保罗·鄂尔多斯的遗产，组合学是一个由合作推动的研究领域。为了给组合学研究生提供合作研究的机会，培养长期的研究合作，我们将举办落基山-大平原研讨会组合学研究生研究工作坊。该奖项将支持将于2014年7月28日至8月8日在美国科罗拉多州丹佛市举行的落基山-大平原组合学研究生研究研讨会(GRWC)，约30名研究生、4名博士后研究人员和10名教师将参加为期两周的紧张合作研究体验。学员将致力于解决图论、计数、组合矩阵理论、有限几何和组合数学的其他现代分支学科中的重要相关问题。学生们将在研讨会前在组委会教师导师的指导下准备开放问题，组委会由来自科罗拉多大学、丹佛大学、爱荷华州立大学、怀俄明大学和内布拉斯加州林肯大学的教师组成。然后，这些问题将由它们的提出者在研讨会上展示，或者在研讨会的安全问题维基上托管，并将由参与的学生、博士后和教职员工组成的小组进行处理。有关《全球资源保护公约》的更多信息，包括研讨会形式的详细说明，请参阅研讨会网站http://sites.google.com/site/rmgpgrwc。

Combinatorics is a growing and important area of mathematics. The focus of combinatorics is the structure of discrete (as opposed to continuous) sets of objects. Combinatorics is critical to many areas of mathematics, and plays a key role in computational, scientific, and engineering applications. In part due to the legacy of Paul Erdos, combinatorics is a research field driven by collaboration. In order to provide graduate students in combinatorics a collaborative research opportunity and nurture long-lasting research collaborations, we will organize the Rocky Mountain-Great Plains Workshop Graduate Research Workshop in Combinatorics. This award will support the Rocky Mountain-Great Plains Workshop Graduate Research Workshop in Combinatorics (GRWC), which will be held in Denver, CO from July 28th-August 8th, 2014, will involve approximately 30 graduate students, 4 postdoctoral researchers and 10 faculty in an intense two-week collaborative research experience. Participants will work to solve important, relevant problems from graph theory, enumeration, combinatorial matrix theory, finite geometry and other modern sub-disciplines of combinatorics. Students will prepare open problems prior to the workshop under the guidance of a faculty mentor from the organizing committee, which consists of faculty from the University of Colorado Denver, University of Denver, Iowa State University, the University of Wyoming and the University of Nebraska Lincoln. These problems will then either be presented at the workshop by their proposers or hosted on the workshop's secure problem wiki, and will be worked on by small groups of participating students, postdocs and faculty. For more information about the GRWC, including a detailed description of the workshop format please see the workshop website at http://sites.google.com/site/rmgpgrwc .